The discovery of quantum many-body scars (QMBS) both in Rydberg atom simulators and in
the Affleck–Kennedy–Lieb–Tasaki spin-1 chain model, have shown that a weak violation of …

The fractional quantum Hall effect, being one of the most studied phenomena in condensed
matter physics during the past 30 years, has generated many ground-breaking new ideas …

We study the phenomenon of Hilbert space fragmentation in isolated Hamiltonian and
Floquet quantum systems using the language of commutant algebras, the algebra of all …

We study the quantum dynamics of a simple translation invariant, center-of-mass (CoM)
preserving model of interacting fermions in one dimension (1D), which arises in multiple …

Quantum many-body systems with fracton constraints are widely conjectured to exhibit
unconventional low-energy phases of matter. In this paper, we demonstrate the existence of …

We present a unifying framework to study physical systems which exhibit topological
quantum order (TQO). The major guiding principle behind our approach is that of …

We show how to numerically calculate several quantities that characterize topological order
starting from a microscopic fractional quantum Hall Hamiltonian. To find the set of …

We study a kinetically constrained pair-hop** model that arises within a Landau level in
the quantum Hall effect. At filling ν= 1/3, the model exactly maps onto the so-called “PXP …

In a two-dimensional electron gas under a strong magnetic field, correlations generate
emergent excitations distinct from electrons. It has been predicted that “composite fermions” …

In systems with a conserved density, the additional conservation of the center of mass
(dipole moment) has been shown to slow down the associated hydrodynamics. At the same …